Edit Profile (opens in new tab) Szántó, Ágnes Co-Author Distance Author ID: szanto.agnes Published as: Szanto, Agnes; Szántó, Ágnes; Szanto, A.; Szánto, Ágnes; Szántó, Agnes more...less Documents Indexed: 39 Publications since 1994, including 1 Additional arXiv Preprint 2 Contributions as Editor Co-Authors: 27 Co-Authors with 35 Joint Publications 808 Co-Co-Authors all top 5 Co-Authors 4 single-authored 12 Krick, Teresa 7 D’Andrea, Carlos 7 Mourrain, Bernard 6 Hauenstein, Jonathan D. 6 Rónyai, Lajos 4 Valdettaro, Marcelo 3 Ayyildiz Akoglu, Tulay 3 Janovitz-Freireich, Itnuit 2 Bostan, Alin 2 Harris, Katherine M. 2 Hong, Hoon 2 Ivanyos, Gábor 2 Mantzaflaris, Angelos 1 Cucker, Felipe 1 Golubitsky, Oleg 1 Janovitz-Freirech, Itnuit 1 Kondrat’eva, Marina Vladimirovna 1 Mansfield, Elizabeth Louise 1 Nagasaka, Kosaku 1 Ovchinnikov, Alexey Igorevich 1 Pan, Victor Yakovlevich 1 Pinkus, Allan M. 1 Pogudin, Gleb A. 1 Pope, Scott R. 1 Ruatta, Olivier 1 Sciabica, Mark 1 Skau, Erik W. 1 Winkler, Franz all top 5 Serials 14 Journal of Symbolic Computation 3 Linear Algebra and its Applications 2 Journal of Algebra 1 Communications in Algebra 1 Discrete Mathematics 1 Journal of Pure and Applied Algebra 1 Revista de la Unión Matemática Argentina 1 Theoretical Computer Science 1 Computers and Artificial Intelligence 1 Notices of the American Mathematical Society 1 Applicable Algebra in Engineering, Communication and Computing 1 London Mathematical Society Lecture Note Series 1 Mathematics in Computer Science 1 ACM Communications in Computer Algebra all top 5 Fields 26 Commutative algebra (13-XX) 24 Computer science (68-XX) 15 Numerical analysis (65-XX) 11 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 152 times in 105 Documents Cited by ▼ Year ▼ A bound for orders in differential Nullstellensatz. Zbl 1189.12002 Golubitsky, Oleg; Kondratieva, Marina; Ovchinnikov, Alexey; Szanto, Agnes 19 2009 On deflation and multiplicity structure. Zbl 1387.13063 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2017 Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2015 An elementary proof of Sylvester’s double sums for subresultants. Zbl 1211.13021 D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes 10 2007 Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin). Zbl 1132.13312 Szanto, Agnes 9 2008 Lattice basis reduction for indefinite forms and an application. Zbl 0848.68041 Ivanyos, Gábor; Szánto, Ágnes 9 1996 Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121 Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes 9 2018 Nearest multivariate system with given root multiplicities. Zbl 1168.65347 Pope, Scott R.; Szanto, Agnes 8 2009 Decomposition of algebras over \(F_ q(X_ 1,\dots,X_ m)\). Zbl 0813.16013 Ivanyos, Gábor; Rónyai, Lajos; Szántó, Ágnes 7 1994 Sylvester’s double sums: the general case. Zbl 1217.13013 D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes 6 2009 Elimination theory for differential difference polynomials. Zbl 1072.68684 Mansfield, E. L.; Szanto, A. 6 2003 Subresultants in multiple roots. Zbl 1293.13009 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 6 2013 Complexity of the Wu-Ritt decomposition. Zbl 0937.68161 Szántó, Ágnes 5 1997 Symmetric interpolation, exchange lemma and Sylvester sums. Zbl 1393.13052 Krick, Teresa; Szanto, Agnes; Valdettaro, Marcelo 5 2017 Approximate radical for clusters: A global approach using Gaussian elimination or SVD. Zbl 1140.65038 Janovitz-Freireich, Itnuit; Rónyai, Lajos; Szántó, Ágnes 4 2007 Sylvester’s double sums: an inductive proof of the general case. Zbl 1244.15004 Krick, Teresa; Szanto, Agnes 4 2012 Multivariate subresultants in roots. Zbl 1106.15007 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 4 2006 Approximate radical of ideals with clusters of roots (extended abstract). Zbl 1356.68283 Janovitz-Freireich, Itnuit; Rónyai, Lajos; Szántó, Ágnes 4 2006 Subresultants, Sylvester sums and the rational interpolation problem. Zbl 1303.41003 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 4 2015 Punctual Hilbert scheme and certified approximate singularities. Zbl 07300089 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 4 2020 Multivariate subresultants using Jouanolou matrices. Zbl 1185.13030 Szanto, Agnes 2 2010 Subresultants in multiple roots: an extremal case. Zbl 1372.13018 Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 Certified Hermite matrices from approximate roots – univariate case. Zbl 07441055 Akoglu, Tulay Ayyildiz; Szanto, Agnes 2 2020 Smooth points on semi-algebraic sets. Zbl 1499.14098 Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes 2 2020 A certified iterative method for isolated singular roots. Zbl 1514.13029 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 2 2023 On the computation of matrices of traces and radicals of ideals. Zbl 1230.13002 Janovitz-Freireich, Itnuit; Mourrain, Bernard; Rónyai, Lajos; Szántó, Ágnes 1 2012 Prime-field-complete functions and factoring polynomials over finite fields. Zbl 0865.68062 Rónyai, Lajos; Szántó, Ágnes 1 1996 A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221 Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes 1 2014 A certified iterative method for isolated singular roots. Zbl 1514.13029 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 2 2023 Punctual Hilbert scheme and certified approximate singularities. Zbl 07300089 Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes 4 2020 Certified Hermite matrices from approximate roots – univariate case. Zbl 07441055 Akoglu, Tulay Ayyildiz; Szanto, Agnes 2 2020 Smooth points on semi-algebraic sets. Zbl 1499.14098 Harris, Katherine; Hauenstein, Jonathan D.; Szanto, Agnes 2 2020 Certifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\). Zbl 1415.65121 Ayyildiz Akoglu, Tulay; Hauenstein, Jonathan D.; Szanto, Agnes 9 2018 On deflation and multiplicity structure. Zbl 1387.13063 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2017 Symmetric interpolation, exchange lemma and Sylvester sums. Zbl 1393.13052 Krick, Teresa; Szanto, Agnes; Valdettaro, Marcelo 5 2017 Subresultants in multiple roots: an extremal case. Zbl 1372.13018 Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286 Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes 11 2015 Subresultants, Sylvester sums and the rational interpolation problem. Zbl 1303.41003 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 4 2015 A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221 Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes 1 2014 Subresultants in multiple roots. Zbl 1293.13009 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 6 2013 Sylvester’s double sums: an inductive proof of the general case. Zbl 1244.15004 Krick, Teresa; Szanto, Agnes 4 2012 On the computation of matrices of traces and radicals of ideals. Zbl 1230.13002 Janovitz-Freireich, Itnuit; Mourrain, Bernard; Rónyai, Lajos; Szántó, Ágnes 1 2012 Multivariate subresultants using Jouanolou matrices. Zbl 1185.13030 Szanto, Agnes 2 2010 A bound for orders in differential Nullstellensatz. Zbl 1189.12002 Golubitsky, Oleg; Kondratieva, Marina; Ovchinnikov, Alexey; Szanto, Agnes 19 2009 Nearest multivariate system with given root multiplicities. Zbl 1168.65347 Pope, Scott R.; Szanto, Agnes 8 2009 Sylvester’s double sums: the general case. Zbl 1217.13013 D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes 6 2009 Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin). Zbl 1132.13312 Szanto, Agnes 9 2008 An elementary proof of Sylvester’s double sums for subresultants. Zbl 1211.13021 D’Andrea, Carlos; Hong, Hoon; Krick, Teresa; Szanto, Agnes 10 2007 Approximate radical for clusters: A global approach using Gaussian elimination or SVD. Zbl 1140.65038 Janovitz-Freireich, Itnuit; Rónyai, Lajos; Szántó, Ágnes 4 2007 Multivariate subresultants in roots. Zbl 1106.15007 D’Andrea, Carlos; Krick, Teresa; Szanto, Agnes 4 2006 Approximate radical of ideals with clusters of roots (extended abstract). Zbl 1356.68283 Janovitz-Freireich, Itnuit; Rónyai, Lajos; Szántó, Ágnes 4 2006 Elimination theory for differential difference polynomials. Zbl 1072.68684 Mansfield, E. L.; Szanto, A. 6 2003 Complexity of the Wu-Ritt decomposition. Zbl 0937.68161 Szántó, Ágnes 5 1997 Lattice basis reduction for indefinite forms and an application. Zbl 0848.68041 Ivanyos, Gábor; Szánto, Ágnes 9 1996 Prime-field-complete functions and factoring polynomials over finite fields. Zbl 0865.68062 Rónyai, Lajos; Szántó, Ágnes 1 1996 Decomposition of algebras over \(F_ q(X_ 1,\dots,X_ m)\). Zbl 0813.16013 Ivanyos, Gábor; Rónyai, Lajos; Szántó, Ágnes 7 1994 all cited Publications top 5 cited Publications all top 5 Cited by 141 Authors 19 Szántó, Ágnes 13 D’Andrea, Carlos 11 Krick, Teresa 7 Hauenstein, Jonathan D. 6 Zhi, Lihong 5 Hong, Hoon 5 Kutas, Péter 4 Ivanyos, Gábor 4 Li, Nan 4 Mourrain, Bernard 4 Ovchinnikov, Alexey Igorevich 4 Rónyai, Lajos 4 Valdettaro, Marcelo 3 Ayyildiz Akoglu, Tulay 3 Busé, Laurent 3 Cheng, Jinsan 3 Gao, Xiaoshan 3 Gustavson, Richard 3 Jeronimo, Gabriela 3 León Sánchez, Omar 3 Li, Wei 3 Pogudin, Gleb A. 3 Scheiblechner, Peter 2 Bazan, Erick Rodriguez 2 Bostan, Alin 2 Cortadellas Benítez, Teresa 2 D’Alfonso, Lisi 2 Dimca, Alexandru 2 Dou, Xiaojie 2 Hartung, Rupert J. 2 Hubert, Evelyne 2 Kondrat’eva, Marina Vladimirovna 2 Lee, Kisun 2 Montoro, Eulàlia 2 Pílniková, Jana 2 Roy, Marie-Françoise 2 Rueda, Sonia L. 2 Schicho, Josef 2 Sendra, Juan Rafael 2 Solernó, Pablo 2 Sun, Mengxiao 2 Szpirglas, Aviva 2 Yuan, Chunming 1 Abe, Takuro 1 Amzallag, Eli 1 Batenkov, Dmitry 1 Bernal, Edgar A. 1 Bernardi, Alessandra 1 Bettale, Luk 1 Botbol, Nicolás 1 Brake, Danielle A. 1 Bürgisser, Peter 1 Burr, Michael A. 1 Chardin, Marc 1 Chu, Chenghao 1 Cid-Ruiz, Yairon 1 Comon, Pierre 1 Cox, David A. 1 Csahók, Tímea 1 Csajbók, Bence 1 Daleo, Noah S. 1 de Graaf, Willem Adriaan 1 Duff, Timothy 1 Faugère, Jean-Charles 1 Feichtner, Eva Maria 1 Freitag, James 1 Giusti, Marc 1 Guo, Li 1 Hao, Zhiwei 1 Harrison-Trainor, Matthew 1 Harrison, Michael C. 1 Hein, Nickolas 1 Hu, Wenyu 1 Huang, S.-L. Tracy 1 Janovitz-Freireich, Itnuit 1 Jiang, Wenrong 1 Jüttler, Bert 1 Kim, Yonggu 1 Kiss, Sándor Z. 1 Klys, Jack 1 Le, Huu Phuoc 1 Lebrun, Jerome 1 Lenstra, Hendrik W. jun. 1 Leykin, Anton 1 Li, Xiaoliang 1 Li, Zijia 1 Lu, Dong 1 Luo, Xingjun 1 Luo, Zhongxuan 1 Mantzaflaris, Angelos 1 Matera, Guillermo 1 Mehrabi, Esmaeil 1 Mehta, Dhagash 1 Mohammadi, Zahra 1 Montessinos, Mickaël 1 Moosa, Rahim N. 1 Mora, Teo 1 Moreno Maza, Marc 1 Niu, Wei 1 Panario, Daniel ...and 41 more Authors all top 5 Cited in 32 Serials 33 Journal of Symbolic Computation 10 Journal of Algebra 5 Linear Algebra and its Applications 4 Advances in Mathematics 4 Theoretical Computer Science 4 Foundations of Computational Mathematics 4 Journal of Systems Science and Complexity 3 Journal of Pure and Applied Algebra 3 Applicable Algebra in Engineering, Communication and Computing 2 Communications in Algebra 2 Mathematics of Computation 2 Advances in Applied Mathematics 2 Journal of Complexity 2 Mathematics in Computer Science 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Canadian Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Programming and Computer Software 1 Revista de la Unión Matemática Argentina 1 Differential Geometry and its Applications 1 Numerical Algorithms 1 Journal of Algebraic Combinatorics 1 Finite Fields and their Applications 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Journal of Mathematical Cryptology 1 Mathematics 1 Research in Number Theory 1 Annales Henri Lebesgue all top 5 Cited in 24 Fields 43 Computer science (68-XX) 41 Commutative algebra (13-XX) 29 Field theory and polynomials (12-XX) 28 Algebraic geometry (14-XX) 26 Numerical analysis (65-XX) 15 Number theory (11-XX) 10 Associative rings and algebras (16-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 4 Mathematical logic and foundations (03-XX) 4 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year